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Finding the Fourth Proportional to 29,804.34, 44,706.51 and 7,617.68

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Solution

The fourth proportional to 29,804.34, 44,706.51 and 7,617.68 is: 11,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,804.34 : 44,706.51 = 7,617.68 : x
  2. Step 2: Convert to fraction form
    29,804.34/44,706.51 = 7,617.68/x
  3. Step 3: Cross multiply
    29,804.34x = 44,706.51 × 7,617.68
  4. Step 4: Simplify right side
    29,804.34x = 340,559,887.10
  5. Step 5: Solve for x
    x = 340,559,887.10/29,804.34
  6. Step 6: Final answer
    x = 11,426.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.